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Finding the Fourth Proportional to 9,198.52, 12,695.40 and 5,614.26

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Solution

The fourth proportional to 9,198.52, 12,695.40 and 5,614.26 is: 7,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.52 : 12,695.40 = 5,614.26 : x
  2. Step 2: Convert to fraction form
    9,198.52/12,695.40 = 5,614.26/x
  3. Step 3: Cross multiply
    9,198.52x = 12,695.40 × 5,614.26
  4. Step 4: Simplify right side
    9,198.52x = 71,275,276.40
  5. Step 5: Solve for x
    x = 71,275,276.40/9,198.52
  6. Step 6: Final answer
    x = 7,748.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.